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Finding the Fourth Proportional to 517,803.20, 775,709.71 and 317,539.61

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Solution

The fourth proportional to 517,803.20, 775,709.71 and 317,539.61 is: 475,699.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,803.20 : 775,709.71 = 317,539.61 : x
  2. Step 2: Convert to fraction form
    517,803.20/775,709.71 = 317,539.61/x
  3. Step 3: Cross multiply
    517,803.20x = 775,709.71 × 317,539.61
  4. Step 4: Simplify right side
    517,803.20x = 246,318,558,786.61
  5. Step 5: Solve for x
    x = 246,318,558,786.61/517,803.20
  6. Step 6: Final answer
    x = 475,699.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.